23 citations · 200 across the 35 of their papers we have counts for
36 papers
Dependence of Critical Exponents Accuracy on the Number of Fields in the O(N) -Invariant ϕ^4 Model
Abouzeid M. Shalaby
The study of large- cases of the -symmetric model at criticality has attracted significant attention in recent years. In particular, a recent high-precision Monte Carlo st…
Accurate Critical Exponents from the Optimal Truncation of the epsilon- Expansion within the O(N)-symmetric Field Theory for large N
Abouzeid M. Shalaby
The perturbation series for the renormalization group functions of the symmetric field theory are divergent but asymptotic. They are usually followed by Resummation ca…
Toward Exact Critical Exponents from the low-order loop expansion of the Effective Potential in Quantum Field Theory
Abouzeid M. Shalaby
The asymptotic strong-coupling behavior as well as the exact critical exponents from scalar field theory even in the simplest case of dimensions have not been obtained yet. H…
High-Order Parametrization of the Hypergeometric-Meijer Approximants
Abouzeid M. Shalaby
In previous articles, we showed that, based on large-order asymptotic behavior, one can approximate a divergent series via the parametrization of a specific hypergeometric approxim…
The -point anomaly in view of the seven-loop Hypergeometric resummation for the critical exponent of the model
Abouzeid M. Shalaby
In this work, we use a specific parameterization of the hypergeometric approximants ( the one by Mera et.al in Phys. Rev. Let. 115, 143001 (2015)) to approximate the seven-loop cri…
Critical Exponents of the O(N)-symmetric Model from the \boldmath{\large{ }} Hypergeometric-Meijer Resummation
Abouzeid M. Shalaby
We extract the -expansion from the recently obtained seven-loop -expansion for the renormalization group functions of the -symmetric model. The different seri…